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Finding the Fourth Proportional to 4,775.78, 6,587.24 and 4,615.22

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Solution

The fourth proportional to 4,775.78, 6,587.24 and 4,615.22 is: 6,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.78 : 6,587.24 = 4,615.22 : x
  2. Step 2: Convert to fraction form
    4,775.78/6,587.24 = 4,615.22/x
  3. Step 3: Cross multiply
    4,775.78x = 6,587.24 × 4,615.22
  4. Step 4: Simplify right side
    4,775.78x = 30,401,561.79
  5. Step 5: Solve for x
    x = 30,401,561.79/4,775.78
  6. Step 6: Final answer
    x = 6,365.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.